2017
DOI: 10.1051/matecconf/201712905009
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Creep calculation for a three-layer beam with a lightweight filler

Abstract: Abstract. In the article the technique of calculation of a three-layer beam with a lightweight filler taking into account the creep of the middle layer is given. The problem reduces to a second-order differential equation, which is solved numerically by the method of finite differences. An example of a calculation is presented for a hinged at the ends beam under the action of a uniformly distributed load. The linear Maxwell-Thompson equation is used as the creep law. Solution was performed in software package … Show more

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Cited by 8 publications
(6 citation statements)
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“…Such a technique for determining creep deformations is used in works [3][4][5][6][7]. Further, at the next moment in time, we also use the method of successive approximations.…”
Section: Methodsmentioning
confidence: 99%
“…Such a technique for determining creep deformations is used in works [3][4][5][6][7]. Further, at the next moment in time, we also use the method of successive approximations.…”
Section: Methodsmentioning
confidence: 99%
“…The creep deformations at each step are determined from the deformations and stresses at the previous step using the fourth-order Runge-Kutta method or Euler method. The procedure for determining creep deformations is described in more detail in [2][3][4][5][6][7][8][9].…”
Section: Methodsmentioning
confidence: 99%
“…One of the simplest rheological models, which is applied not only to polymers, but also to other materials such as concrete and wood, is the Maxwell–Thompson linear model. The creep strain growth rate in this model under a uniaxial stress state is determined by the following expression [ 10 ]: where is the stress, is the time, is the instant modulus of elasticity, is the long modulus of elasticity and is the relaxation time.…”
Section: Introductionmentioning
confidence: 99%